Search a number
-
+
3401013632 = 2741648059
BaseRepresentation
bin1100101010110111…
…0101100110000000
322210000121101121212
43022231311212000
523431124414012
61321251305252
7150165065432
oct31255654600
98700541555
103401013632
111495868975
127aabab228
134227bc303
14243992652
1514d8a7b22
hexcab75980

3401013632 has 32 divisors (see below), whose sum is σ = 6940722600. Its totient is φ = 1659028480.

The previous prime is 3401013631. The next prime is 3401013643. The reversal of 3401013632 is 2363101043.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 3401013598 and 3401013607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401013631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 318782 + ... + 329277.

Almost surely, 23401013632 is an apocalyptic number.

3401013632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3401013632 is an abundant number, since it is smaller than the sum of its proper divisors (3539708968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3401013632 is an equidigital number, since it uses as much as digits as its factorization.

3401013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648114 (or 648102 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 3401013632 is about 58318.2101234254. The cubic root of 3401013632 is about 1503.8440120401.

Adding to 3401013632 its reverse (2363101043), we get a palindrome (5764114675).

The spelling of 3401013632 in words is "three billion, four hundred one million, thirteen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 648059 1296118 2592236 5184472 10368944 20737888 26570419 41475776 53140838 82951552 106281676 212563352 425126704 850253408 1700506816 3401013632